It was my first time buying stocks in 2020. Do I need to claim it?

[Mike9241]

there is no income tax reporting when you buy stocks. only when you sell stocks that you bought. or buy stocks that close out a short sell. 

[JohnB5677]

The statement above is correct.  You will only have a taxable situation after you sell the stock.  However, many stocks do issue dividends. 

• You will receive a 1099-DIV. 
• You may receive this form electronically. 
• Be sure to go into your brokerage account and check for Tax Documents.
• Stock sales will be listed on a 1099-B

[Opus 17]

Check your brokerage account for tax statements.  Depending on what you invested in, you might have interest or dividends, and if you invested in mutual funds you might have capital gains.

In the simplest case where you buy a stock that pays no dividends, you only have a reportable event when you sell the stock (as a capital gain or loss).  But if you invested in mutual funds, you can have reportable gains or losses in the fund even if you don't sell your shares, as well as dividends.